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Chapter 11: Q. 197E (page 1069)

The product of two consecutive even numbers is 624. Find the numbers.

Short Answer

Expert verified

Two consecutive even integers whose product is 624 are26,24and-24,-26.

Step by step solution

01

Step 1. Given information

There are two consecutive even numbers. Its product is 624.

Find these numbers using the quadratic equation.

02

Step 2. Calculation

Consider first even number is x. So, the second consecutive even number is x+2.

So, the equation becomes,

xx+2=624x2+2x-624=0

Solve the equation

x-24x+26=0

So,

x-24=0鈬�x=24

x+26=0鈬�x=-26

03

Step 3. Conclusion

  • If the first even number is 24 then the second even number is 26.
  • If the first even number is -26 then the second even number is -24.

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Most popular questions from this chapter

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, 'ac' method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

In the following exercises, simplify each expression.

y43.y52

In the following exercise, find

(a) Rx=fx+gx

(b) Rx=fx-gx:

fx=-4x-24x2+x-30gx=x+75-x

In the following exercises, simplify using absolute value signs as needed.n21,q83,n108

In the following exercises, add or subtract.

-75+-48
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